Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Navier-Stokes/Darcy model

DOI10.1016/S0252-9602(18)30819-1zbMath1438.65276OpenAlexW2898673732MaRDI QIDQ2313148

Yi Qin, Yan-ren Hou

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30819-1

zbMATH Keywords

Darcy's lawNavier-Stokes equationtwo-grid methodoptimal error estimate

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Stokes-Darcy model
• On the quasistatic approximation in the Stokes-Darcy model of groundwater-surface water flows
• A two-grid decoupling method for the mixed Stokes-Darcy model
• Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow
• On the solution of the coupled Navier-Stokes and Darcy equations
• Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
• Homogenization of a Darcy-Stokes system modeling vuggy porous media
• Numerical analysis of the Navier-Stokes/Darcy coupling
• Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
• A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media
• Local and parallel finite element method for the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions
• Mathematical and numerical models for coupling surface and groundwater flows
• A two-level discretization method for the Navier-Stokes equations
• A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
• Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
• Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
• Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
• On the Boundary Condition at the Surface of a Porous Medium
• Numerical analysis for the mixed <scp>N</scp>avier–<scp>S</scp>tokes and <scp>D</scp>arcy Problem with the <scp>B</scp>eavers–<scp>J</scp>oseph interface condition
• A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
• Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
• DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
• Analysis of time-dependent Navier–Stokes flow coupled with Darcy flow
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
• A decoupling two‐grid algorithm for the mixed Stokes‐Darcy model with the Beavers‐Joseph interface condition